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Simplifying 4x + 7(5x + 1) = 23 + 7x Reorder the terms: 4x + 7(1 + 5x) = 23 + 7x 4x + (1 * 7 + 5x * 7) = 23 + 7x 4x + (7 + 35x) = 23 + 7x Reorder the terms: 7 + 4x + 35x = 23 + 7x Combine like terms: 4x + 35x = 39x 7 + 39x = 23 + 7x Solving 7 + 39x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 39x + -7x = 23 + 7x + -7x Combine like terms: 39x + -7x = 32x 7 + 32x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 32x = 23 + 0 7 + 32x = 23 Add '-7' to each side of the equation. 7 + -7 + 32x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 32x = 23 + -7 32x = 23 + -7 Combine like terms: 23 + -7 = 16 32x = 16 Divide each side by '32'. x = 0.5 Simplifying x = 0.5
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